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Finding the Fourth Proportional to 275,432.21, 413,012.98 and 161,609.12

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Solution

The fourth proportional to 275,432.21, 413,012.98 and 161,609.12 is: 242,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,432.21 : 413,012.98 = 161,609.12 : x
  2. Step 2: Convert to fraction form
    275,432.21/413,012.98 = 161,609.12/x
  3. Step 3: Cross multiply
    275,432.21x = 413,012.98 × 161,609.12
  4. Step 4: Simplify right side
    275,432.21x = 66,746,664,246.38
  5. Step 5: Solve for x
    x = 66,746,664,246.38/275,432.21
  6. Step 6: Final answer
    x = 242,334.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.